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Finding the Third Proportional to 64,856.25 and 140,080.50

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Solution

The third proportional to 64,856.25 and 140,080.50 is: 302,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,856.25 : 140,080.50 = 140,080.50 : x
  2. Step 2: Convert to fraction form
    64,856.25/140,080.50 = 140,080.50/x
  3. Step 3: Cross multiply
    64,856.25x = 140,080.50 × 140,080.50
  4. Step 4: Simplify right side
    64,856.25x = 19,622,546,480.25
  5. Step 5: Solve for x
    x = 19,622,546,480.25/64,856.25
  6. Step 6: Final answer
    x = 302,554.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.